Some exact solutions with torsion in 5-D Einstein-Gauss-Bonnet gravity
General Relativity and Quantum Cosmology
2008-11-26 v2 High Energy Physics - Theory
Abstract
Exact solutions with torsion in Einstein-Gauss-Bonnet gravity are derived. These solutions have a cross product structure of two constant curvature manifolds. The equations of motion give a relation for the coupling constants of the theory in order to have solutions with nontrivial torsion. This relation is not the Chern-Simons combination. One of the solutions has a structure and is so the purely gravitational analogue of the Bertotti-Robinson space-time where the torsion can be seen as the dual of the covariantly constant electromagnetic field.
Keywords
Cite
@article{arxiv.0706.2891,
title = {Some exact solutions with torsion in 5-D Einstein-Gauss-Bonnet gravity},
author = {F. Canfora and A. Giacomini and S. Willison},
journal= {arXiv preprint arXiv:0706.2891},
year = {2008}
}